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Finding the Third Proportional to 74,838 and 110,038.50

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Solution

The third proportional to 74,838 and 110,038.50 is: 161,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,838 : 110,038.50 = 110,038.50 : x
  2. Step 2: Convert to fraction form
    74,838/110,038.50 = 110,038.50/x
  3. Step 3: Cross multiply
    74,838x = 110,038.50 × 110,038.50
  4. Step 4: Simplify right side
    74,838x = 12,108,471,482.25
  5. Step 5: Solve for x
    x = 12,108,471,482.25/74,838
  6. Step 6: Final answer
    x = 161,795.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.